Suppose that F ,(x) = f (x) and F(0) = 3, F(2) = 7. (a) What is the area under y = f (x) over [0, 2] if f (x) ≥ 0?(b) What is the graphical interpretation of F(2) − F(0) if f (x) takes on both positive and negative values?

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
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ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
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ChapterA: Appendix
SectionA.2: Geometric Constructions
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Suppose that F ,(x) = f (x) and F(0) = 3, F(2) = 7.


(a) What is the area under y = f (x) over [0, 2] if f (x) ≥ 0?
(b) What is the graphical interpretation of F(2) − F(0) if f (x) takes on both positive and negative values?

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